The ubiquitous Gaussian limit law in analytic combinatorics

Hsien-Kuei Hwang, The ubiquitous Gaussian limit law in analytic combinatorics, Chapter introduction (on Gaussian limit laws) of Philippe Flajolet's Collected Papers. pdf (197K)

A fish tank model for assembling food webs

Wei-Chung Liu, Hsuan-Wien Chen, Tsung-Hsi Tsai, Hsien-Kuei Hwang, A fish tank model for assembling food webs, Ecological Modelling, 245 (24 October 2012), 166–175. pdf (913K)

Shape measures of random increasing k-trees

Alexis Darrasse, Hsien-Kuei Hwang and Michèle Soria, Shape measures of random increasing k-trees, Combinatorics, Probability and Computing, 25 (2016) 668-699. pdf (511K) (A preliminary extended abstract)

Threshold phenomena in k-dominant skylines of random samples

Hsien-Kuei Hwang, Tsung-Hsi Tsai, Wei-Mei Chen, Threshold phenomena in k-dominant skylines of random samples, SIAM Journal on Computing, 42 (2), (2013), 405-441. pdf (315K)

The scientific works of Philippe Flajolet

Hsien-Kuei Hwang, The scientific works of Philippe Flajolet, talk delivered at AofA'11 (June 15, 2011; Będlewo, Poland). slide-file (8.1M) Follow also this link for his works.

Variance of binomial splitting processes

Hsien-Kuei Hwang, Variance of binomial splitting processes, plenary talk delivered at AofA'11 (June 16, 2011; Będlewo, Poland). slide-file (1.4M)

Multivariate records based on dominance

Hsien-Kuei Hwang and Tsung-Hsi Tsai, Multivariate records based on dominance, Electronic Journal of Probability, 15 (2010), 1863-1892. pdf (487K; 29 pages) arXiv

Psi-series method for equality of random trees and quadratic convolution recurrences

Hua-Huai Chern, María-Inés Fernández-Camacho, Hsien-Kuei Hwang and Conrado Martínez, Psi-series method for equality of random trees and quadratic convolution recurrences, Random Structures and Algorithms, 44 (2014), 67–108 (revised February 28, 2012). pdf (348K; 41 pages) arXiv

Asymptotic variance of random digital search trees

Hsien-Kuei Hwang, Michael Fuchs and Vytas Zacharovas, Asymptotic variance of random digital search trees, DMTCS (Special issue in honor of Philippe Flajolet), 12:2 (2010), 103-166; dedicated to the 60th birthday of Philippe Flajolet. pdf (1,074K; 64 pages) arXiv (earlier version; one beautiful figure missing) For more plots of random digital search trees, see this page.

The connectivity-profile of random increasing k-trees

Alexis Darrasse, Hsien-Kuei Hwang, Olivier Bodini and Michèle Soria, The connectivity-profile of random increasing k-trees, (extended abstract) to be presented at ANALCO 2010. pdf (221K; 11 pages) arXiv HAL (Hyper Articles en Ligne) (October 10, 2009)

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